Finite Group Databasebeta

← #35201932

Subgroups — #35201932

Order 20224.

6286 conjugacy classes of subgroups.

The subgroup lattice has 1874 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23778094C212yesmaximal, complemented
2#23778064C214yesmaximal, complemented
3#23778050C214yesmaximal, complemented
4#23778026C214yesmaximal, complemented
5#23778016C214yesmaximal, complemented
6#23778012C214yesmaximal, complemented
7#23778003C212yesmaximal, complemented
8#23778000C212yesmaximal, complemented
9#23777898C214yesmaximal, complemented
10#23777886C214yesmaximal, complemented
11#23777855C212yesmaximal, complemented
12#23777738C212yesmaximal, complemented
13#23777597C214yesmaximal, complemented
14#23777561C212yesmaximal, complemented
15#23777544C212yesmaximal, complemented
16C2×#19099313C211yesmaximal, characteristic, complemented
17#23777453C214yesmaximal, complemented
18#23777366C212yesmaximal, complemented
19#23777294C211yesmaximal, characteristic, complemented
20#23777285C212yesmaximal, complemented
21#23777139C214yesmaximal, complemented
22#23777097C212yesmaximal, complemented
23C79×#3545C211yesmaximal, characteristic, complemented
24C79⋊#564C2212yescomplemented
25C79⋊#564C2212yescomplemented
26#19099316C2214yescomplemented
27#19099316C2214yescomplemented
28#19099316C2212yescomplemented
29#19099316C2214yescomplemented
30#19099315C2214yescomplemented
31#19099314C2214yescomplemented
32#19099314C2214yescomplemented
33#19099313C2212yes—
34#19099313C2212yes—
35#19099313C2212yescomplemented
36#19099313C2214yescomplemented
37#19099313C2211yescharacteristic, complemented
38#19099313C2212yescomplemented
39#19099313C2214yescomplemented
40#19099313C2212yescomplemented
41#19099313C2211yescharacteristic, complemented
42#19099313C2214yescomplemented
43#19099313C2212yescomplemented
44#19099312C2212yescomplemented
45#19099308C2214yescomplemented
46#19099308C2214yescomplemented
47#19099308C2214yescomplemented
48#19099302C2212yescomplemented
49#19099297C2212yescomplemented
50#19099295C2214yescomplemented
51#19099293C2212yescomplemented
52#19099291C2214yescomplemented
53#19099289C2212yescomplemented
54#19099288C2214yescomplemented
55#19099288C2214yescomplemented
56#19099283C2214yescomplemented
57#19099282C2214yescomplemented
58#19099282C2214yescomplemented
59#19099282C2214yescomplemented
60#19099282C2214yescomplemented
61#19099282C2214yescomplemented
62#19099282C2214yescomplemented
63#19099281C2214yescomplemented
64#19099280C2214yescomplemented
65#19099275C2212yescomplemented
66#19099272C2214yescomplemented
67#19099272C2214yescomplemented
68#19099272C2212yescomplemented
69#19099271C2212yescomplemented
70#19099270C2214yescomplemented
71#19099267C2214yescomplemented
72#19099267C2214yescomplemented
73#19099267C2214yescomplemented
74#19099265C2212yes—
75#19099265C2214yescomplemented
76#19099263C2212yescomplemented
77#19099260C2214yescomplemented
78#19099260C2214yescomplemented
79#19099255C2212yescomplemented
80#19099254C2212yescomplemented
81#19099253C2214yescomplemented
82#19099253C2214yescomplemented
83#19099253C2214yescomplemented
84#19099252C2214yescomplemented
85#19099250C2214yes—
86#19099250C2214yescomplemented
87#19099250C2214yescomplemented
88#19099250C2214yescomplemented
89#19099250C2214yescomplemented
90#19099250C2214yescomplemented
91#19099250C2214yescomplemented
92#19099250C2214yescomplemented
93#19099250C2214yescomplemented
94#19099250C2214yescomplemented
95#19099249C2214yescomplemented
96#19099249C2214yescomplemented
97#19099247C2214yescomplemented
98#19099246C2214yescomplemented
99#19099246C2214yescomplemented
100#19099246C2214yescomplemented
101#19099244C2214yes—
102#19099244C2214yes—
103#19099244C2214yes—
104#19099244C2214yescomplemented
105#19099244C2212yescomplemented
106#19099244C2214yescomplemented
107#19099244C2214yescomplemented
108#19099239C2214yescomplemented
109#19099239C2214yescomplemented
110#19099239C2214yescomplemented
111#19099239C2214yescomplemented
112#19099239C2214yescomplemented
113#19099213C2212yes—
114#19099212C2214yes—
115#19099211C2214yescomplemented
116#19099207C2214yescomplemented
117#19099192C2214yescomplemented
118#19099192C2214yescomplemented
119#19099192C2214yescomplemented
120#19099191C2214yescomplemented
121#19099190C2214yescomplemented
122#19099189C2214yescomplemented
123#19099189C2212yescomplemented
124#19099183C2214yescomplemented
125#19099182C2212yes—
126#19099182C2212yescomplemented
127#19099182C2214yescomplemented
128#19099181C2214yescomplemented
129#19099180C2214yes—
130#19099180C2214yescomplemented
131#19099178C2214yescomplemented
132#19099177C2214yescomplemented
133#19099177C2214yescomplemented
134#19099177C2214yescomplemented
135#19099177C2214yescomplemented
136#19099175C2214yescomplemented
137#19099175C2214yescomplemented
138#19099173C2214yescomplemented
139#19099173C2214yescomplemented
140#19099173C2214yescomplemented
141#19099173C2214yescomplemented
142#19099170C2214yescomplemented
143#19099170C2214yescomplemented
144#19099170C2214yescomplemented
145#19099170C2214yescomplemented
146#19099170C2214yescomplemented
147#19099170C2214yescomplemented
148#19099170C2214yescomplemented
149#19099163C2214yes—
150#19099158C2214yes—
151#19099158C2214yes—
152#19099158C2214yescomplemented
153#19099158C2214yescomplemented
154#19099158C2214yescomplemented
155#19099157C2214yescomplemented
156#19099156C2214yes—
157#19099156C2214yescomplemented
158#19099156C2214yescomplemented
159#19099155C2214yescomplemented
160#19099155C2214yescomplemented
161#19099154C2214yescomplemented
162#19099148C2214yes—
163#19099148C2214yes—
164#19099148C2214yescomplemented
165#19099148C2214yescomplemented
166#19099137C2211yescharacteristic, complemented
167#19099135C2214yescomplemented
168#19099134C2212yes—
169#19099130C2211yescharacteristic
170#19099120C2211yescharacteristic, complemented
171#19099119C2212yescomplemented
172#19099116C2214yescomplemented
173#19099116C2212yescomplemented
174#19099115C2214yescomplemented
175#19099115C2214yescomplemented
176#19099115C2214yescomplemented
177C2×#14579159C2212yescomplemented
178#19099094C2214yes—
179#19099094C2214yescomplemented
180#19099094C2214yescomplemented
181#19099093C2214yescomplemented
182#19099093C2214yescomplemented
183#19099092C2212yes—
184#19099092C2212yescomplemented
185#19099092C2212yescomplemented
186#19099092C2212yescomplemented
187#19099090C2214yescomplemented
188#19099090C2214yescomplemented
189#19099090C2214yescomplemented
190C2×#14579154C2214yescomplemented
191C2×#14579154C2214yescomplemented
192C2×#14579153C2212yescomplemented
193#125×D79C2212yescomplemented
194#19099069C2214yes—
195C2×#14579142C2212yes—
196C2×#14579142C2212yescomplemented
197C2×#14579138C2214yescomplemented
198#19099042C2214yescomplemented
199#19099041C2211yescharacteristic, complemented
200#19099040C2212yescomplemented
201#19099038C2211yescharacteristic
202#19099038C2212yescomplemented
203#41×Dic79C2212yes—
204C4×#11929624C2211yescharacteristic, complemented
205C2×#14579117C2212yescomplemented
206#563×C79C2211yescharacteristic
207#562×C79C2212yes—
208H(3,𝔽4)×C79C2211yescharacteristic
209#555×C79C2212yes—
210#551×C79C2214yes—
211#551×C79C2212yes—
212#546×C79C2214yes—
213#542×C79C2214yes—
214#538×C79C2214yes—
215#536×C79C2212yes—
216#534×C79C2212yes—
217#529×C79C2212yes—
218C2×#124×C79C2211yescharacteristic
219C2×#11929624C2311yescharacteristic
220C2×#11929623C2314yes—
221C22×Dic158C2312yes—
222C23×Dic79C2312yes—
223#14579161C2312yes—
224#14579161C2314yes—
225#14579160C2314yes—
226#14579160C2312yes—
227#14579160C2314yes—
228#14579160C2314yes—
229#14579160C2314yes—
230#14579160C2314yes—
231#14579160C2312yes—
232#14579160C2314yes—
233#14579159C2312yes—
234#14579159C2312yes—
235#14579159C2312yes—
236#14579159C2314yes—
237#14579159C2314yes—
238#14579159C2314yes—
239#14579159C2314yes—
240#14579159C2314yes—
241#14579159C2314yes—
242#14579159C2312yes—
243#14579159C2312yes—
244#14579157C2312yes—
245#14579156C2314yes—
246#14579156C2314yes—
247#14579156C2314yes—
248#14579155C2314yes—
249#14579155C2314yes—
250#14579154C2314yes—
251#14579154C2314yes—
252#14579154C2314yes—
253#14579154C2314yes—
254#14579154C2314yes—
255#14579154C2314yes—
256#14579154C2314yes—
257#14579154C2314yes—
258#14579154C2314yes—
259#14579154C2314yes—
260#14579154C2314yes—
261#14579154C2314yes—
262#14579154C2314yes—
263#14579154C2314yes—
264#14579154C2314yes—
265#14579154C2314yes—
266#14579154C2314yes—
267#14579154C2314yes—
268#14579154C2314yes—
269#14579154C2314yes—
270#14579154C2314yes—
271#14579154C2314yes—
272#14579154C2314yes—
273#14579154C2314yes—
274#14579154C2314yes—
275#14579154C2314yes—
276#14579154C2314yes—
277#14579154C2314yes—
278#14579154C2314yes—
279#14579154C2314yes—
280#14579154C2314yes—
281#14579154C2314yes—
282#14579154C2314yes—
283#14579154C2314yes—
284#14579154C2314yes—
285#14579154C2314yes—
286#14579154C2314yes—
287#14579153C2314yes—
288#14579153C2314yes—
289#14579153C2314yes—
290#14579153C2314yes—
291#14579153C2312yes—
292#14579153C2312yes—
293#14579153C2314yes—
294#14579153C2312yes—
295#14579153C2312yes—
296#14579153C2312yes—
297#14579152C2314yes—
298#14579152C2314yes—
299#14579152C2314yes—
300#14579152C2314yes—
301#14579152C2314yes—
302#14579152C2312yes—
303#14579152C2314yes—
304#14579152C2314yes—
305#14579152C2314yes—
306#14579152C2312yes—
307#14579152C2314yes—
308#14579151C2314yes—
309#14579151C2314yes—
310#14579151C2314yes—
311#14579151C2314yes—
312#14579151C2314yes—
313#14579151C2314yes—
314#14579151C2314yes—
315#14579151C2314yes—
316#14579151C2314yes—
317#14579151C2314yes—
318#14579151C2314yes—
319#14579151C2314yes—
320#14579151C2314yes—
321#14579151C2314yes—
322#14579151C2314yes—
323#14579151C2314yes—
324#14579151C2314yes—
325#14579151C2314yes—
326#14579151C2314yes—
327#14579151C2314yes—
328#14579151C2314yes—
329#14579151C2314yes—
330#14579151C2314yes—
331#14579150C2312yes—
332#14579148C2314yes—
333#14579148C2314yes—
334#14579148C2314yes—
335#14579148C2314yes—
336#14579148C2312yes—
337#14579148C2314yes—
338#14579147C2314yes—
339#14579147C2314yes—
340#14579147C2314yes—
341#14579147C2314yes—
342#14579147C2314yes—
343#14579147C2314yes—
344#14579147C2314yes—
345#14579146C2314yes—
346#14579145C2314yes—
347#14579145C2314yes—
348#14579145C2314yes—
349#14579145C2314yes—
350#14579144C2314yes—
351#14579144C2314yes—
352#14579144C2314yes—
353#14579144C2314yes—
354#14579143C2314yes—
355#14579143C2314yes—
356#14579143C2314yes—
357#14579143C2314yes—
358#14579143C2314yes—
359#14579143C2314yes—
360#14579143C2314yes—
361#14579142C2314yes—
362#14579142C2314yes—
363#14579142C2314yes—
364#14579142C2314yes—
365#14579142C2314yes—
366#14579142C2314yes—
367#14579142C2314yes—
368#14579142C2314yes—
369#14579142C2312yes—
370#14579142C2314yes—
371#14579142C2314yes—
372#14579142C2314yes—
373#14579142C2314yes—
374#14579142C2314yes—
375#14579142C2312yes—
376#14579142C2314yes—
377#14579142C2314yes—
378#14579142C2312yes—
379#14579142C2312yes—
380#14579142C2314yes—
381#14579141C2314yes—
382#14579140C2314yes—
383#14579140C2314yes—
384#14579140C2314yes—
385#14579140C2314yes—
386#14579140C2314yes—
387#14579140C2314yes—
388#14579140C2314yes—
389#14579140C2314yes—
390#14579140C2314yes—
391#14579140C2314yes—
392#14579140C2314yes—
393#14579139C2314yes—
394#14579139C2314yes—
395#14579139C2314yes—
396#14579139C2314yes—
397#14579139C2314yes—
398#14579138C2314yes—
399#14579138C2314yes—
400#14579138C2314yes—
401#14579138C2314yes—
402#14579138C2314yes—
403#14579138C2314yes—
404#14579138C2314yes—
405#14579138C2314yes—
406#14579138C2314yes—
407#14579138C2314yes—
408#14579138C2314yes—
409#14579138C2314yes—
410#14579138C2314yes—
411#14579138C2314yes—
412#14579138C2314yes—
413#14579138C2314yes—
414#14579138C2314yes—
415#14579138C2314yes—
416#14579138C2314yes—
417#14579138C2314yes—
418#14579138C2314yes—
419#14579138C2314yes—
420#14579138C2314yes—
421#14579138C2314yes—
422#14579138C2314yes—
423#14579138C2314yes—
424#14579138C2314yes—
425#14579138C2314yes—
426#14579138C2314yes—
427#14579138C2314yes—
428#14579138C2314yes—
429#14579138C2314yes—
430#14579137C2312yes—
431#14579137C2312yes—
432#14579137C2312yes—
433#14579137C2312yes—
434#14579137C2314yes—
435#14579134C2314yes—
436#14579133C2314yes—
437#14579133C2314yes—
438#14579133C2314yes—
439#14579133C2314yes—
440#14579133C2314yes—
441#14579133C2314yes—
442#14579132C2312yes—
443#14579132C2314yes—
444#14579132C2312yes—
445#14579132C2312yes—
446#14579132C2314yes—
447#14579132C2312yes—
448#14579130C2314yes—
449#14579130C2314yes—
450Q8×Dic79C2312yes—
451Q8×Dic79C2312yes—
452Q8×Dic79C2314yes—
453Q8×Dic79C2314yes—
454Q8×Dic79C2312yes—
455Q8×Dic79C2312yes—
456C4×Dic158C2314yes—
457C4×Dic158C2312yes—
458C4×Dic158C2314yes—
459C4×Dic158C2314yes—
460C4×Dic158C2314yes—
461C4×Dic158C2314yes—
462C4×Dic158C2314yes—
463C4×Dic158C2314yes—
464C4×Dic158C2314yes—
465C4×Dic158C2314yes—
466#14579126C2314yes—
467#14579126C2314yes—
468#14579126C2314yes—
469#14579126C2314yes—
470#14579126C2314yes—
471#14579126C2314yes—
472#14579126C2314yes—
473#14579126C2314yes—
474#14579126C2314yes—
475C4×D316C2312yes—
476D4×Dic79C2314yes—
477D4×Dic79C2314yes—
478D4×Dic79C2314yes—
479D4×Dic79C2314yes—
480D4×Dic79C2314yes—
481D4×Dic79C2314yes—
482D4×Dic79C2314yes—
483D4×Dic79C2312yes—
484D4×Dic79C2312yes—
485D4×Dic79C2314yes—
486D4×Dic79C2314yes—
487D4×Dic79C2312yes—
488D4×Dic79C2314yes—
489D4×Dic79C2314yes—
490D4×Dic79C2312yes—
491C4×C22⋊D79C2312yes—
492C4×C22⋊D79C2314yes—
493C4×C22⋊D79C2314yes—
494C4×C22⋊D79C2314yes—
495C4×C22⋊D79C2314yes—
496C4×C22⋊D79C2312yes—
497(C22⋊D79)⋊C4C2314yes—
498(C22⋊D79)⋊C4C2314yes—
499(C22⋊D79)⋊C4C2314yes—
500(C22⋊D79)⋊C4C2314yes—
501(C22⋊D79)⋊C4C2314yes—
502(C22⋊D79)⋊C4C2314yes—
503(C22⋊D79)⋊C4C2314yes—
504(C22⋊D79)⋊C4C2314yes—
505#14579120C2311yescharacteristic
506#14579120C2314yes—
507#14579120C2314yes—
508#14579120C2314yes—
509#14579120C2314yes—
510#14579120C2312yes—
511#14579120C2312yes—
512#14579120C2311yescharacteristic
513#14579120C2311yescharacteristic
514#14579119C2314yes—
515#14579119C2312yes—
516#14579119C2312yes—
517#14579118C2314yes—
518#14579118C2312yes—
519#14579118C2314yes—
520#14579117C2314yes—
521#14579117C2314yes—
522#14579117C2314yes—
523#14579117C2314yes—
524#14579117C2314yes—
525#14579117C2314yes—
526#14579117C2314yes—
527#14579117C2314yes—
528#14579117C2314yes—
529#14579117C2314yes—
530#14579117C2314yes—
531#14579117C2314yes—
532#14579117C2314yes—
533#14579117C2314yes—
534#14579117C2314yes—
535#14579117C2314yes—
536C2×C4⋊Dic79C2314yes—
537C2×C4⋊Dic79C2312yes—
538C2×C4⋊Dic79C2312yes—
539C2×Dic79⋊C4C2314yes—
540C2×Dic79⋊C4C2314yes—
541C2×Dic79⋊C4C2314yes—
542C2×Dic79⋊C4C2314yes—
543C2×Dic79⋊C4C2314yes—
544C2×Dic79⋊C4C2314yes—
545C2×Dic79⋊C4C2314yes—
546C4⋊C4×D79C2314yes—
547C4⋊C4×D79C2314yes—
548C4⋊C4×D79C2312yes—
549C4⋊C4×D79C2312yes—
550C2×C22⋊Dic79C2312yes—
551C2×C22⋊Dic79C2314yes—
552C2×C22⋊Dic79C2314yes—
553C2×C22⋊Dic79C2314yes—
554C2×C22⋊Dic79C2312yes—
555C2×C22⋊Dic79C2314yes—
556C2×C22⋊Dic79C2312yes—
557C2×C4×Dic79C2314yes—
558C2×C4×Dic79C2312yes—
559C2×C4×Dic79C2314yes—
560C42×D79C2312yes—
561C2×#41×C79C2312yes—
562C22×Q8×C79C2311yescharacteristic
563C22×D4×C79C2312yes—
564C22×D4×C79C2311yescharacteristic
565C4⋊Q8×C79C2312yes—
566C4⋊Q8×C79C2312yes—
567#126×C79C2314yes—
568#126×C79C2314yes—
569#126×C79C2314yes—
570#125×C79C2312yes—
571#124×C79C2312yes—
572#124×C79C2314yes—
573#124×C79C2314yes—
574#124×C79C2311yescharacteristic
575#124×C79C2311yescharacteristic
576#124×C79C2314yes—
577#124×C79C2311yescharacteristic
578#124×C79C2311yescharacteristic
579#124×C79C2312yes—
580#124×C79C2312yes—
581#123×C79C2312yes—
582#123×C79C2314yes—
583#123×C79C2314yes—
584#123×C79C2314yes—
585#123×C79C2314yes—
586#123×C79C2312yes—
587#123×C79C2314yes—
588C22⋊Q8×C79C2314yes—
589C22⋊Q8×C79C2314yes—
590C22⋊Q8×C79C2314yes—
591C22⋊Q8×C79C2314yes—
592C22⋊Q8×C79C2312yes—
593#121×C79C2312yes—
594#121×C79C2314yes—
595#121×C79C2314yes—
596#121×C79C2314yes—
597#121×C79C2314yes—
598#120×C79C2312yes—
599#120×C79C2314yes—
600#120×C79C2314yes—
601#120×C79C2312yes—
602C4×Q8×C79C2312yes—
603C4×D4×C79C2314yes—
604C4×D4×C79C2314yes—
605C4×D4×C79C2314yes—
606C4×D4×C79C2312yes—
607#117×C79C2314yes—
608#117×C79C2314yes—
609#117×C79C2312yes—
610C2×C22⋊C4×C79C2312yes—
611C2×C22⋊C4×C79C2314yes—
612C2×C22⋊C4×C79C2314yes—
613C2×C42×C79C2311yescharacteristic
614#11929624—42no—
615#11929623—48no—
616C2×Dic158—44no—
617C2×Dic158C2412yes—
618C2×Dic158C2412yes—
619C2×Dic158C2414yes—
620C2×Dic158C2414yes—
621C2×Dic158C2411yescharacteristic
622C2×Dic158C2414yes—
623C2×Dic158C2414yes—
624C2×Dic158C2414yes—
625C2×Dic158C2414yes—
626C2×D316C2411yescharacteristic
627C2×C22⋊D79C2412yes—
628C2×C22⋊D79C2414yes—
629C2×C22⋊D79C2414yes—
630C2×C22⋊D79C2414yes—
631C2×C22⋊D79C2414yes—
632C22×Dic79—44no—
633C22×Dic79C2414yes—
634C22×Dic79C2414yes—
635C22×Dic79C2412yes—
636C22×Dic79C2414yes—
637C22×Dic79C2414yes—
638C22×Dic79C2414yes—
639C22×Dic79C2414yes—
640C22×Dic79C2414yes—
641C22×Dic79C2414yes—
642C22×Dic79C2414yes—
643C22×Dic79C2412yes—
644C2×C4×D79C2414yes—
645C2×C4×D79C2412yes—
646C2×C4×D79C2412yes—
647C2×C4×D79C2412yes—
648C2×C4×D79C2414yes—
649C4⋊Dic79C2412yes—
650C4⋊Dic79C2412yes—
651C4⋊Dic79C2414yes—
652C4⋊Dic79C2414yes—
653C4⋊Dic79C2414yes—
654C4⋊Dic79C2412yes—
655C4⋊Dic79C2414yes—
656C4⋊Dic79C2412yes—
657C4⋊Dic79C2414yes—
658C4⋊Dic79C2414yes—
659C4⋊Dic79C2414yes—
660C4⋊Dic79C2412yes—
661C4⋊Dic79C2412yes—
662C4⋊Dic79C2414yes—
663C4⋊Dic79C2414yes—
664C4⋊Dic79C2414yes—
665C4⋊Dic79C2412yes—
666C4⋊Dic79C2414yes—
667C4⋊Dic79C2414yes—
668C4⋊Dic79C2414yes—
669Dic79⋊C4C2414yes—
670Dic79⋊C4C2414yes—
671Dic79⋊C4C2414yes—
672Dic79⋊C4C2414yes—
673Dic79⋊C4C2414yes—
674Dic79⋊C4C2414yes—
675Dic79⋊C4C2412yes—
676Dic79⋊C4C2414yes—
677Dic79⋊C4C2414yes—
678Dic79⋊C4C2414yes—
679Dic79⋊C4C2414yes—
680Dic79⋊C4C2414yes—
681Dic79⋊C4C2414yes—
682Dic79⋊C4C2414yes—
683Dic79⋊C4C2414yes—
684Dic79⋊C4C2414yes—
685Dic79⋊C4C2414yes—
686Dic79⋊C4C2414yes—
687Dic79⋊C4C2414yes—
688Dic79⋊C4C2414yes—
689Dic79⋊C4C2414yes—
690Dic79⋊C4C2414yes—
691Dic79⋊C4C2414yes—
692Dic79⋊C4C2414yes—
693Dic79⋊C4C2414yes—
694Dic79⋊C4C2414yes—
695Dic79⋊C4C2414yes—
696Dic79⋊C4C2414yes—
697Dic79⋊C4C2414yes—
698Dic79⋊C4C2414yes—
699Dic79⋊C4C2414yes—
700Dic79⋊C4C2414yes—
701Dic79⋊C4C2414yes—
702Dic79⋊C4C2412yes—
703Dic79⋊C4C2414yes—
704Dic79⋊C4C2414yes—
705Dic79⋊C4C2414yes—
706Dic79⋊C4C2414yes—
707C22⋊Dic79C2411yescharacteristic
708C22⋊Dic79C2412yes—
709C22⋊Dic79C2414yes—
710C22⋊Dic79C2411yescharacteristic
711C22⋊Dic79C2414yes—
712C22⋊Dic79C2414yes—
713C22⋊Dic79C2414yes—
714C22⋊Dic79C2414yes—
715C22⋊Dic79C2414yes—
716C22⋊Dic79C2414yes—
717C22⋊Dic79C2414yes—
718C22⋊Dic79C2414yes—
719C22⋊Dic79C2414yes—
720C22⋊Dic79C2414yes—
721C22⋊Dic79C2414yes—
722C22⋊Dic79C2414yes—
723C22⋊Dic79C2414yes—
724C22⋊Dic79C2412yes—
725C22⋊Dic79C2414yes—
726C22⋊Dic79C2412yes—
727C22⋊Dic79C2414yes—
728C22⋊Dic79C2412yes—
729C22⋊Dic79C2414yes—
730C22⋊Dic79C2414yes—
731C22⋊Dic79C2414yes—
732(C2×D79)⋊C4C2412yes—
733(C2×D79)⋊C4C2414yes—
734(C2×D79)⋊C4C2414yes—
735(C2×D79)⋊C4C2414yes—
736(C2×D79)⋊C4C2412yes—
737(C2×D79)⋊C4C2414yes—
738(C2×D79)⋊C4C2414yes—
739(C2×D79)⋊C4C2414yes—
740C4×Dic79C2412yes—
741C4×Dic79C2412yes—
742C4×Dic79C2412yes—
743C4×Dic79C2412yes—
744C4×Dic79C2414yes—
745C4×Dic79C2414yes—
746C4×Dic79C2414yes—
747C4×Dic79C2414yes—
748C4×Dic79C2414yes—
749C4×Dic79C2414yes—
750C4×Dic79C2414yes—
751C4×Dic79C2412yes—
752C4×Dic79C2414yes—
753C4×Dic79C2414yes—
754C4×Dic79C2414yes—
755C4×Dic79C2414yes—
756C4×Dic79C2414yes—
757C4×Dic79C2412yes—
758C4×Dic79C2412yes—
759C4×Dic79C2414yes—
760C24×C79C2412yes—
761C24×C79C2412yes—
762#41×C79—44no—
763C2×Q8×C79—42no—
764C2×Q8×C79C2412yes—
765C2×Q8×C79C2411yescharacteristic
766C2×Q8×C79C2412yes—
767C2×Q8×C79C2412yes—
768C2×Q8×C79C2411yescharacteristic
769C2×D4×C79—42no—
770C2×D4×C79—44no—
771C2×D4×C79C2414yes—
772C2×D4×C79C2414yes—
773C2×D4×C79C2414yes—
774C2×D4×C79C2412yes—
775C2×D4×C79C2412yes—
776C2×D4×C79C2411yescharacteristic
777C2×D4×C79C2412yes—
778C2×D4×C79C2414yes—
779C2×D4×C79C2411yescharacteristic
780C22×C4×C79C2412yes—
781C22×C4×C79C2411yescharacteristic
782C22×C4×C79C2412yes—
783C22×C4×C79C2414yes—
784C22×C4×C79C2414yes—
785C22×C4×C79C2414yes—
786C22×C4×C79C2412yes—
787C4⋊C4×C79C2414yes—
788C4⋊C4×C79C2414yes—
789C4⋊C4×C79C2414yes—
790C4⋊C4×C79C2414yes—
791C4⋊C4×C79C2414yes—
792C4⋊C4×C79C2414yes—
793C4⋊C4×C79C2412yes—
794C4⋊C4×C79C2412yes—
795C4⋊C4×C79C2414yes—
796C22⋊C4×C79C2414yes—
797C22⋊C4×C79C2414yes—
798C22⋊C4×C79C2414yes—
799C22⋊C4×C79C2414yes—
800C22⋊C4×C79C2414yes—
801C22⋊C4×C79C2414yes—
802C22⋊C4×C79C2412yes—
803C22⋊C4×C79C2412yes—
804C22⋊C4×C79C2414yes—
805C22⋊C4×C79C2414yes—
806C22⋊C4×C79C2414yes—
807C22⋊C4×C79C2414yes—
808C22⋊C4×C79C2414yes—
809C22⋊C4×C79C2414yes—
810C22⋊C4×C79C2414yes—
811C42×C79C2411yescharacteristic
812C42×C79C2412yes—
813C42×C79C2411yescharacteristic
814C42×C79C2412yes—
815C42×C79C2414yes—
816C42×C79C2412yes—
817C23×C79—24no—
818C23×C79—44no—
819C23×C79—42no—
820C23×C79—44no—
821C23×C79C2512yes—
822C23×C79C2514yes—
823C23×C79C2512yes—
824C23×C79C2511yescharacteristic
825C22×D79C2512yes—
826Q8×C79—41no—
827Q8×C79—42no—
828Q8×C79—41no—
829Q8×C79—42no—
830Q8×C79—42no—
831D4×C79—28no—
832D4×C79—42no—
833D4×C79—41no—
834D4×C79—41no—
835D4×C79—44no—
836D4×C79—44no—
837D4×C79—44no—
838D4×C79—42no—
839D4×C79—42no—
840C2×C4×C79—24no—
841C2×C4×C79—22no—
842C2×C4×C79—44no—
843C2×C4×C79—42no—
844C2×C4×C79—44no—
845C2×C4×C79—42no—
846C2×C4×C79—44no—
847C2×C4×C79C2514yes—
848C2×C4×C79C2512yes—
849C2×C4×C79C2512yes—
850C2×C4×C79C2511yescharacteristic
851C2×C4×C79C2514yes—
852C2×C4×C79C2514yes—
853C2×C4×C79C2512yes—
854C2×C4×C79C2511yescharacteristic
855C2×C4×C79C2512yes—
856C22⋊D79—24no—
857C22⋊D79—44no—
858C22⋊D79—44no—
859C22⋊D79—44no—
860C22⋊D79—44no—
861C2×Dic79—28no—
862C2×Dic79—42no—
863C2×Dic79—44no—
864C2×Dic79—42no—
865C2×Dic79—44no—
866C2×Dic79—44no—
867C2×Dic79—44no—
868C2×Dic79—44no—
869C2×Dic79—44no—
870C2×Dic79—44no—
871C2×Dic79—44no—
872C2×Dic79C2512yes—
873C2×Dic79C2514yes—
874C2×Dic79C2514yes—
875C2×Dic79C2514yes—
876C2×Dic79C2512yes—
877C2×Dic79C2514yes—
878C2×Dic79C2514yes—
879C2×Dic79C2512yes—
880C2×Dic79C2514yes—
881D316—41no—
882C4×D79—44no—
883C4×D79—42no—
884C4×D79—42no—
885C4×D79—44no—
886C4×D79—42no—
887Dic158—42no—
888Dic158—44no—
889Dic158—42no—
890Dic158—44no—
891Dic158—44no—
892Dic158—44no—
893Dic158—44no—
894Dic158—44no—
895Dic158—41no—
896C22×C79—22no—
897C22×C79—24no—
898C22×C79—22no—
899C22×C79—22no—
900C22×C79—24no—
901C22×C79—24no—
902C22×C79—24no—
903C22×C79—24no—
904C22×C79—84no—
905C22×C79—162no—
906C22×C79#58512yes—
907C22×C79C2611yescharacteristic
908C2×D79—22no—
909C2×D79—22no—
910C2×D79—22no—
911C4×C79—22no—
912C4×C79—21no—
913C4×C79—21no—
914C4×C79—22no—
915C4×C79—24no—
916C4×C79—22no—
917C4×C79—24no—
918C4×C79—24no—
919C4×C79—22no—
920Dic79—22no—
921Dic79—24no—
922Dic79—24no—
923Dic79—24no—
924Dic79—24no—
925Dic79—22no—
926Dic79—24no—
927Dic79—24no—
928Dic79—22no—
929#63064—791nomaximal, Sylow
930C2×C79—22no—
931C2×C79—42no—
932C2×C79—42no—
933C2×C79—44no—
934C2×C79C2×#58511yescharacteristic
935C2×C792−1+612yes—
936D79—42no—
937#3568—792no—
938#3566—794no—
939#3565—794no—
940#3564—794no—
941#3564—794no—
942#3564—794no—
943#3563—792no—
944#3563—792no—
945#3557—794no—
946#3555—794no—
947#3553—792no—
948#3545D7911yescharacteristic, complemented
949#3544—792no—
950#3535—794no—
951#3533—792no—
952#3531—792no—
953C2×#563—791no—
954#3521—794no—
955#3515—792no—
956#3510—791no—
957#3509—792no—
958#3495—794no—
959#3491—792no—
960C79#6306411yescharacteristic, complemented, Sylow
961#564—792no—
962#564—792no—
963#563—792no—
964#563—794no—
965#563—792no—
966#563—792no—
967#563—791no—
968#563—791no—
969#563—794no—
970#563—794no—
971#563—792no—
972#563—792no—
973#563—794no—
974#563—792no—
975#563—792no—
976#563—794no—
977#563—794no—
978#563—792no—
979#563—794no—
980#563—794no—
981#563—794no—
982#563C2×D7911yescharacteristic
983#562—794no—
984#562—794no—
985#562—794no—
986#562C2×D7912yes—
987H(3,𝔽4)C2×D7911yescharacteristic
988#560—792no—
989#559—794no—
990#559—792no—
991Q82—792no—
992#557—794no—
993#557—794no—
994#557—792no—
995#557—794no—
996#556—794no—
997#556—794no—
998#556—794no—
999#556—794no—
1000#556—794no—
1001#556—794no—
1002#556—794no—
1003#556—794no—
1004#556—794no—
1005#555—792no—
1006#555C2×D7912yes—
1007#554—794no—
1008#554—794no—
1009#554—794no—
1010#554—792no—
1011#554—794no—
1012#554—794no—
1013#554—792no—
1014#554—794no—
1015#553—794no—
1016#553—794no—
1017#553—792no—
1018#553—794no—
1019#553—792no—
1020#552—794no—
1021#552—794no—
1022#552—794no—
1023#552—794no—
1024#552—794no—
1025#552—794no—
1026#552—794no—
1027#552—794no—
1028#552—794no—
1029#552—794no—
1030#552—794no—
1031#552—794no—
1032#552—794no—
1033#552—792no—
1034#552—792no—
1035#552—794no—
1036#552—794no—
1037#552—794no—
1038#552—794no—
1039#552—794no—
1040#552—794no—
1041#552—794no—
1042#551—794no—
1043#551—794no—
1044#551—794no—
1045#551—794no—
1046#551—794no—
1047#551—792no—
1048#551—794no—
1049#551—794no—
1050#551—794no—
1051#551—794no—
1052#551—794no—
1053#551—794no—
1054#551C2×D7914yes—
1055#551C2×D7912yes—
1056#547—794no—
1057#547—794no—
1058#547—792no—
1059#546—794no—
1060#546C2×D7914yes—
1061#544—794no—
1062#544—794no—
1063#544—794no—
1064#544—794no—
1065#544—794no—
1066#543—792no—
1067#543—794no—
1068#542—794no—
1069#542—794no—
1070#542—794no—
1071#542—794no—
1072#542—792no—
1073#542—792no—
1074#542—794no—
1075#542—794no—
1076#542—794no—
1077#542—794no—
1078#542—794no—
1079#542—794no—
1080#542C2×D7914yes—
1081#541—794no—
1082#541—794no—
1083#541—794no—
1084#541—794no—
1085#541—794no—
1086#541—794no—
1087#541—794no—
1088#541—794no—
1089#541—794no—
1090#541—794no—
1091#541—794no—
1092#541—794no—
1093#541—794no—
1094#540—794no—
1095#539—794no—
1096#539—794no—
1097#539—794no—
1098#539—794no—
1099#539—794no—
1100#539—794no—
1101#539—794no—
1102#539—794no—
1103#539—794no—
1104#539—794no—
1105#539—794no—
1106#539—794no—
1107#538—794no—
1108#538—794no—
1109#538—794no—
1110#538—794no—
1111#538C2×D7914yes—
1112#536—792no—
1113#536—791no—
1114#536—794no—
1115#536C2×D7912yes—
1116#535—791no—
1117#534C2×D7912yes—
1118#533—792no—
1119#533—794no—
1120#533—794no—
1121#533—794no—
1122#533—794no—
1123#533—792no—
1124#533—791no—
1125C2×C4⋊Q8—792no—
1126#529—792no—
1127#529—792no—
1128#529—792no—
1129#529—792no—
1130#529—794no—
1131#529—794no—
1132#529—794no—
1133#529—794no—
1134#529—794no—
1135#529—794no—
1136#529—794no—
1137#529—794no—
1138#529C2×D7912yes—
1139C2×#126—794no—
1140C2×#126—794no—
1141C2×#125—792no—
1142C2×#125—792no—
1143C2×#124C2×D7911yescharacteristic
1144#525—794no—
1145C2×#123—792no—
1146C2×#123—792no—
1147C2×C22⋊Q8—794no—
1148#520—794no—
1149#519—791no—
1150#519—792no—
1151#518—791no—
1152#518—792no—
1153C4×#41—792no—
1154C4×#41—791no—
1155C2×#117—792no—
1156C2×#41—794no—
1157C2×#41—791no—
1158C2×#41C22×D7912yes—
1159C22×Q8—792no—
1160C22×Q8C22×D7911yescharacteristic
1161C22×D4C22×D7911yescharacteristic
1162C22×D4C22×D7912yes—
1163C23×C4—792no—
1164C4⋊Q8—792no—
1165C4⋊Q8—792no—
1166C4⋊Q8—792no—
1167C4⋊Q8—792no—
1168C4⋊Q8—794no—
1169C4⋊Q8—794no—
1170C4⋊Q8—794no—
1171C4⋊Q8—794no—
1172C4⋊Q8—792no—
1173C4⋊Q8—794no—
1174C4⋊Q8—794no—
1175C4⋊Q8—794no—
1176C4⋊Q8—794no—
1177C4⋊Q8—794no—
1178C4⋊Q8—794no—
1179C4⋊Q8—792no—
1180C4⋊Q8—792no—
1181C4⋊Q8—794no—
1182C4⋊Q8—794no—
1183C4⋊Q8—792no—
1184C4⋊Q8—794no—
1185C4⋊Q8C22×D7912yes—
1186C4⋊Q8C22×D7912yes—
1187#127—792no—
1188#126—794no—
1189#126—794no—
1190#126—794no—
1191#126—794no—
1192#126—794no—
1193#126—794no—
1194#126—794no—
1195#126—794no—
1196#126—794no—
1197#126—794no—
1198#126—794no—
1199#126—794no—
1200#126—794no—
1201#126—794no—
1202#126—794no—
1203#126—794no—
1204#126—794no—
1205#126—794no—
1206#126—794no—
1207#126—794no—
1208#126—794no—
1209#126—794no—
1210#126—794no—
1211#126—794no—
1212#126—794no—
1213#126—794no—
1214#126—794no—
1215#126—794no—
1216#126—794no—
1217#126—794no—
1218#126—794no—
1219#126—794no—
1220#126—794no—
1221#126—794no—
1222#126—794no—
1223#126—794no—
1224#126—794no—
1225#126—794no—
1226#126—794no—
1227#126—794no—
1228#126—794no—
1229#126—794no—
1230#126C22×D7914yes—
1231#126C22×D7914yes—
1232#126C22×D7914yes—
1233#125—794no—
1234#125—794no—
1235#125—792no—
1236#125—792no—
1237#125—794no—
1238#125—794no—
1239#125—794no—
1240#125—794no—
1241#125—794no—
1242#125—794no—
1243#125—794no—
1244#125—794no—
1245#125—794no—
1246#125—794no—
1247#125—794no—
1248#125—794no—
1249#125—794no—
1250#125—794no—
1251#125—794no—
1252#125—794no—
1253#125—794no—
1254#125—794no—
1255#125—794no—
1256#125—794no—
1257#125—794no—
1258#125—794no—
1259#125—794no—
1260#125—794no—
1261#125—794no—
1262#125—794no—
1263#125—794no—
1264#125—794no—
1265#125—794no—
1266#125—794no—
1267#125—792no—
1268#125—792no—
1269#125—794no—
1270#125—792no—
1271#125—792no—
1272#125—794no—
1273#125—792no—
1274#125—794no—
1275#125—794no—
1276#125—794no—
1277#125C22×D7912yes—
1278#124—792no—
1279#124—794no—
1280#124—794no—
1281#124—794no—
1282#124—792no—
1283#124—794no—
1284#124—794no—
1285#124—794no—
1286#124—794no—
1287#124—794no—
1288#124—794no—
1289#124—794no—
1290#124—794no—
1291#124—794no—
1292#124C22×D7911yescharacteristic
1293#124C22×D7911yescharacteristic
1294#124C22×D7914yes—
1295#124C22×D7911yescharacteristic
1296#124C22×D7911yescharacteristic
1297#124C22×D7912yes—
1298#124C22×D7912yes—
1299#124C22×D7912yes—
1300#124C22×D7914yes—
1301#124C22×D7914yes—
1302#123—792no—
1303#123—792no—
1304#123—794no—
1305#123—794no—
1306#123—794no—
1307#123—794no—
1308#123—794no—
1309#123—792no—
1310#123—792no—
1311#123—794no—
1312#123—794no—
1313#123—794no—
1314#123—794no—
1315#123—794no—
1316#123—794no—
1317#123—794no—
1318#123—794no—
1319#123—794no—
1320#123—794no—
1321#123—794no—
1322#123—794no—
1323#123—794no—
1324#123—794no—
1325#123—794no—
1326#123—794no—
1327#123—794no—
1328#123—794no—
1329#123—794no—
1330#123—794no—
1331#123—794no—
1332#123—794no—
1333#123—794no—
1334#123—794no—
1335#123—794no—
1336#123—794no—
1337#123—794no—
1338#123C22×D7914yes—
1339#123C22×D7914yes—
1340#123C22×D7914yes—
1341#123C22×D7914yes—
1342#123C22×D7912yes—
1343#123C22×D7912yes—
1344#123C22×D7914yes—
1345C22⋊Q8—792no—
1346C22⋊Q8—792no—
1347C22⋊Q8—792no—
1348C22⋊Q8—792no—
1349C22⋊Q8—794no—
1350C22⋊Q8—794no—
1351C22⋊Q8—794no—
1352C22⋊Q8—794no—
1353C22⋊Q8—794no—
1354C22⋊Q8—794no—
1355C22⋊Q8—794no—
1356C22⋊Q8—794no—
1357C22⋊Q8—794no—
1358C22⋊Q8—794no—
1359C22⋊Q8—794no—
1360C22⋊Q8—794no—
1361C22⋊Q8—794no—
1362C22⋊Q8—794no—
1363C22⋊Q8—794no—
1364C22⋊Q8—794no—
1365C22⋊Q8—794no—
1366C22⋊Q8—794no—
1367C22⋊Q8—794no—
1368C22⋊Q8—794no—
1369C22⋊Q8—794no—
1370C22⋊Q8—794no—
1371C22⋊Q8—794no—
1372C22⋊Q8—794no—
1373C22⋊Q8—794no—
1374C22⋊Q8—794no—
1375C22⋊Q8—794no—
1376C22⋊Q8—794no—
1377C22⋊Q8—794no—
1378C22⋊Q8—794no—
1379C22⋊Q8—794no—
1380C22⋊Q8—794no—
1381C22⋊Q8—794no—
1382C22⋊Q8—794no—
1383C22⋊Q8—794no—
1384C22⋊Q8—794no—
1385C22⋊Q8—794no—
1386C22⋊Q8—794no—
1387C22⋊Q8—794no—
1388C22⋊Q8—794no—
1389C22⋊Q8—794no—
1390C22⋊Q8—794no—
1391C22⋊Q8—794no—
1392C22⋊Q8—794no—
1393C22⋊Q8—794no—
1394C22⋊Q8—794no—
1395C22⋊Q8—794no—
1396C22⋊Q8—794no—
1397C22⋊Q8—794no—
1398C22⋊Q8—794no—
1399C22⋊Q8C22×D7912yes—
1400C22⋊Q8C22×D7914yes—
1401C22⋊Q8C22×D7914yes—
1402C22⋊Q8C22×D7914yes—
1403C22⋊Q8C22×D7914yes—
1404#121—794no—
1405#121—794no—
1406#121—792no—
1407#121—792no—
1408#121—794no—
1409#121—792no—
1410#121—792no—
1411#121—794no—
1412#121—794no—
1413#121—794no—
1414#121—794no—
1415#121—794no—
1416#121—794no—
1417#121C22×D7914yes—
1418#121C22×D7914yes—
1419#121C22×D7914yes—
1420#121C22×D7912yes—
1421#121C22×D7914yes—
1422#120—794no—
1423#120—794no—
1424#120C22×D7914yes—
1425#120C22×D7912yes—
1426#120C22×D7912yes—
1427#120C22×D7914yes—
1428C4×Q8—794no—
1429C4×Q8—792no—
1430C4×Q8—792no—
1431C4×Q8—794no—
1432C4×Q8—792no—
1433C4×Q8—792no—
1434C4×Q8—794no—
1435C4×Q8—794no—
1436C4×Q8—794no—
1437C4×Q8—794no—
1438C4×Q8—794no—
1439C4×Q8—794no—
1440C4×Q8—794no—
1441C4×Q8—794no—
1442C4×Q8—794no—
1443C4×Q8—792no—
1444C4×Q8—794no—
1445C4×Q8—794no—
1446C4×Q8—794no—
1447C4×Q8—794no—
1448C4×Q8—794no—
1449C4×Q8—794no—
1450C4×Q8—794no—
1451C4×Q8—794no—
1452C4×Q8—794no—
1453C4×Q8C22×D7912yes—
1454C4×D4—794no—
1455C4×D4—794no—
1456C4×D4—794no—
1457C4×D4—792no—
1458C4×D4—794no—
1459C4×D4—794no—
1460C4×D4—794no—
1461C4×D4—794no—
1462C4×D4—792no—
1463C4×D4—794no—
1464C4×D4—794no—
1465C4×D4—792no—
1466C4×D4—794no—
1467C4×D4—794no—
1468C4×D4—792no—
1469C4×D4—792no—
1470C4×D4—792no—
1471C4×D4—794no—
1472C4×D4—794no—
1473C4×D4—794no—
1474C4×D4—794no—
1475C4×D4—794no—
1476C4×D4—794no—
1477C4×D4—794no—
1478C4×D4—794no—
1479C4×D4—794no—
1480C4×D4—794no—
1481C4×D4—794no—
1482C4×D4—794no—
1483C4×D4—792no—
1484C4×D4C22×D7914yes—
1485C4×D4C22×D7914yes—
1486C4×D4C22×D7914yes—
1487C4×D4C22×D7912yes—
1488#117—791no—
1489#117—792no—
1490#117—794no—
1491#117—794no—
1492#117—791no—
1493#117—791no—
1494#117—792no—
1495#117—794no—
1496#117—794no—
1497#117—792no—
1498#117—792no—
1499#117—794no—
1500#117—794no—
1501#117—794no—
1502#117—794no—
1503#117—794no—
1504#117—794no—
1505#117—794no—
1506#117—794no—
1507#117—794no—
1508#117—794no—
1509#117—794no—
1510#117—794no—
1511#117—794no—
1512#117—794no—
1513#117—794no—
1514#117—794no—
1515#117—794no—
1516#117—792no—
1517#117—794no—
1518#117—794no—
1519#117C22×D7912yes—
1520#117C22×D7914yes—
1521#117C22×D7914yes—
1522C2×C4⋊C4—794no—
1523C2×C4⋊C4—794no—
1524C2×C4⋊C4—794no—
1525C2×C4⋊C4—792no—
1526C2×C4⋊C4—794no—
1527C2×C4⋊C4—794no—
1528C2×C4⋊C4—794no—
1529C2×C4⋊C4—792no—
1530C2×C4⋊C4—794no—
1531C2×C4⋊C4—794no—
1532C2×C4⋊C4—794no—
1533C2×C4⋊C4—792no—
1534C2×C4⋊C4—792no—
1535C2×C4⋊C4—794no—
1536C2×C22⋊C4—792no—
1537C2×C22⋊C4—792no—
1538C2×C22⋊C4—792no—
1539C2×C22⋊C4—794no—
1540C2×C22⋊C4—794no—
1541C2×C22⋊C4—794no—
1542C2×C22⋊C4—794no—
1543C2×C22⋊C4C22×D7912yes—
1544C2×C22⋊C4C22×D7914yes—
1545C2×C22⋊C4C22×D7914yes—
1546C2×C42—794no—
1547C2×C42—792no—
1548C2×C42—794no—
1549C2×C42—792no—
1550C2×C42C22×D7911yescharacteristic
1551C24C23×D7912yes—
1552C24C23×D7912yes—
1553#41—44no—
1554#41—3162no—
1555#41—3168no—
1556C2×Q8—42no—
1557C2×Q8—3164no—
1558C2×Q8—794no—
1559C2×Q8—794no—
1560C2×Q8—794no—
1561C2×Q8—794no—
1562C2×Q8—792no—
1563C2×Q8—792no—
1564C2×Q8—794no—
1565C2×Q8—794no—
1566C2×Q8—791no—
1567C2×Q8C23×D7912yes—
1568C2×Q8C23×D7911yescharacteristic
1569C2×Q8C23×D7912yes—
1570C2×Q8C23×D7911yescharacteristic
1571C2×Q8C23×D7912yes—
1572C2×D4—42no—
1573C2×D4—44no—
1574C2×D4—794no—
1575C2×D4—794no—
1576C2×D4—794no—
1577C2×D4—794no—
1578C2×D4—792no—
1579C2×D4—791no—
1580C2×D4C23×D7914yes—
1581C2×D4C23×D7914yes—
1582C2×D4C23×D7912yes—
1583C2×D4C23×D7914yes—
1584C2×D4C23×D7912yes—
1585C2×D4C23×D7911yescharacteristic
1586C2×D4C23×D7912yes—
1587C2×D4C23×D7911yescharacteristic
1588C2×D4C23×D7914yes—
1589C22×C4—3164no—
1590C22×C4—792no—
1591C22×C4—794no—
1592C22×C4—794no—
1593C22×C4—794no—
1594C22×C4—794no—
1595C22×C4—794no—
1596C22×C4—794no—
1597C22×C4—794no—
1598C22×C4—794no—
1599C22×C4—792no—
1600C22×C4—792no—
1601C22×C4—792no—
1602C22×C4—792no—
1603C22×C4—794no—
1604C22×C4—794no—
1605C22×C4—794no—
1606C22×C4C23×D7912yes—
1607C22×C4C23×D7911yescharacteristic
1608C22×C4C23×D7914yes—
1609C22×C4C23×D7914yes—
1610C22×C4C23×D7912yes—
1611C22×C4C23×D7914yes—
1612C22×C4C23×D7912yes—
1613C4⋊C4—794no—
1614C4⋊C4—792no—
1615C4⋊C4—794no—
1616C4⋊C4—794no—
1617C4⋊C4—794no—
1618C4⋊C4—794no—
1619C4⋊C4—794no—
1620C4⋊C4—794no—
1621C4⋊C4—794no—
1622C4⋊C4—794no—
1623C4⋊C4—794no—
1624C4⋊C4—794no—
1625C4⋊C4—794no—
1626C4⋊C4—794no—
1627C4⋊C4—794no—
1628C4⋊C4—794no—
1629C4⋊C4—794no—
1630C4⋊C4—794no—
1631C4⋊C4—794no—
1632C4⋊C4—794no—
1633C4⋊C4—794no—
1634C4⋊C4—794no—
1635C4⋊C4—794no—
1636C4⋊C4—794no—
1637C4⋊C4—794no—
1638C4⋊C4—794no—
1639C4⋊C4—794no—
1640C4⋊C4—794no—
1641C4⋊C4—794no—
1642C4⋊C4—794no—
1643C4⋊C4—794no—
1644C4⋊C4—792no—
1645C4⋊C4—794no—
1646C4⋊C4—794no—
1647C4⋊C4—794no—
1648C4⋊C4—794no—
1649C4⋊C4—794no—
1650C4⋊C4—794no—
1651C4⋊C4—792no—
1652C4⋊C4—792no—
1653C4⋊C4—794no—
1654C4⋊C4—794no—
1655C4⋊C4—794no—
1656C4⋊C4—794no—
1657C4⋊C4—792no—
1658C4⋊C4—792no—
1659C4⋊C4—794no—
1660C4⋊C4—794no—
1661C4⋊C4—794no—
1662C4⋊C4—792no—
1663C4⋊C4—794no—
1664C4⋊C4—792no—
1665C4⋊C4—794no—
1666C4⋊C4—794no—
1667C4⋊C4—792no—
1668C4⋊C4—794no—
1669C4⋊C4—794no—
1670C4⋊C4—794no—
1671C4⋊C4C23×D7912yes—
1672C4⋊C4C23×D7912yes—
1673C4⋊C4C23×D7914yes—
1674C4⋊C4C23×D7914yes—
1675C4⋊C4C23×D7914yes—
1676C4⋊C4C23×D7914yes—
1677C4⋊C4C23×D7914yes—
1678C4⋊C4C23×D7914yes—
1679C4⋊C4C23×D7914yes—
1680C22⋊C4—791no—
1681C22⋊C4—792no—
1682C22⋊C4—791no—
1683C22⋊C4—794no—
1684C22⋊C4—794no—
1685C22⋊C4—794no—
1686C22⋊C4—794no—
1687C22⋊C4—794no—
1688C22⋊C4—794no—
1689C22⋊C4—794no—
1690C22⋊C4—794no—
1691C22⋊C4—794no—
1692C22⋊C4—794no—
1693C22⋊C4—794no—
1694C22⋊C4—794no—
1695C22⋊C4—794no—
1696C22⋊C4—794no—
1697C22⋊C4—792no—
1698C22⋊C4—794no—
1699C22⋊C4—792no—
1700C22⋊C4—794no—
1701C22⋊C4—792no—
1702C22⋊C4—794no—
1703C22⋊C4—794no—
1704C22⋊C4—794no—
1705C22⋊C4—792no—
1706C22⋊C4—794no—
1707C22⋊C4—794no—
1708C22⋊C4—794no—
1709C22⋊C4—794no—
1710C22⋊C4—792no—
1711C22⋊C4—794no—
1712C22⋊C4—794no—
1713C22⋊C4C23×D7914yes—
1714C22⋊C4C23×D7914yes—
1715C22⋊C4C23×D7912yes—
1716C22⋊C4C23×D7912yes—
1717C22⋊C4C23×D7914yes—
1718C22⋊C4C23×D7914yes—
1719C22⋊C4C23×D7914yes—
1720C22⋊C4C23×D7914yes—
1721C22⋊C4C23×D7914yes—
1722C22⋊C4C23×D7914yes—
1723C22⋊C4C23×D7914yes—
1724C22⋊C4C23×D7914yes—
1725C22⋊C4C23×D7914yes—
1726C22⋊C4C23×D7914yes—
1727C22⋊C4C23×D7914yes—
1728C42—792no—
1729C42—794no—
1730C42—794no—
1731C42—792no—
1732C42—794no—
1733C42—792no—
1734C42—794no—
1735C42—794no—
1736C42—792no—
1737C42—792no—
1738C42—794no—
1739C42—794no—
1740C42—794no—
1741C42—794no—
1742C42—794no—
1743C42—794no—
1744C42—792no—
1745C42—794no—
1746C42—794no—
1747C42—792no—
1748C42C23×D7911yescharacteristic
1749C42C23×D7911yescharacteristic
1750C42C23×D7912yes—
1751C42C23×D7912yes—
1752C42C23×D7914yes—
1753C42C23×D7912yes—
1754C23—24no—
1755C23—44no—
1756C23—42no—
1757C23—44no—
1758C23—792no—
1759C23C24×D7912yes—
1760C23C24×D7914yes—
1761C23C24×D7912yes—
1762C23C24×D7911yescharacteristic
1763Q8—41no—
1764Q8—42no—
1765Q8—41no—
1766Q8—42no—
1767Q8—42no—
1768Q8—3162no—
1769Q8—3162no—
1770Q8—3164no—
1771Q8—3161no—
1772Q8—3164no—
1773Q8—3164no—
1774Q8—3164no—
1775Q8—3164no—
1776Q8—3164no—
1777D4—28no—
1778D4—41no—
1779D4—41no—
1780D4—42no—
1781D4—44no—
1782D4—44no—
1783D4—42no—
1784D4—44no—
1785D4—42no—
1786D4—3161no—
1787D4—3164no—
1788D4—3164no—
1789D4—3164no—
1790D4—3164no—
1791D4—1584no—
1792C2×C4—22no—
1793C2×C4—24no—
1794C2×C4—44no—
1795C2×C4—42no—
1796C2×C4—44no—
1797C2×C4—42no—
1798C2×C4—44no—
1799C2×C4—3162no—
1800C2×C4—3164no—
1801C2×C4—3164no—
1802C2×C4—3162no—
1803C2×C4—3162no—
1804C2×C4—3162no—
1805C2×C4—3164no—
1806C2×C4—3162no—
1807C2×C4—3164no—
1808C2×C4—3164no—
1809C2×C4—3164no—
1810C2×C4—3164no—
1811C2×C4—3164no—
1812C2×C4—3164no—
1813C2×C4—3164no—
1814C2×C4—792no—
1815C2×C4—794no—
1816C2×C4—794no—
1817C2×C4—794no—
1818C2×C4—792no—
1819C2×C4—794no—
1820C2×C4—792no—
1821C2×C4—794no—
1822C2×C4—794no—
1823C2×C4—1588no—
1824C2×C4C24×D7914yes—
1825C2×C4C24×D7912yes—
1826C2×C4C24×D7911yescharacteristic
1827C2×C4C24×D7912yes—
1828C2×C4C24×D7914yes—
1829C2×C4C24×D7914yes—
1830C2×C4C24×D7912yes—
1831C2×C4C24×D7911yescharacteristic
1832C2×C4C24×D7912yes—
1833C22—22no—
1834C22—22no—
1835C22—24no—
1836C22—22no—
1837C22—24no—
1838C22—24no—
1839C22—24no—
1840C22—24no—
1841C22—84no—
1842C22—162no—
1843C22—1582no—
1844C22—1582no—
1845C22—1582no—
1846C22#1909939812yes—
1847C22C25×D7911yescharacteristic
1848C4—22no—
1849C4—21no—
1850C4—21no—
1851C4—22no—
1852C4—24no—
1853C4—22no—
1854C4—24no—
1855C4—22no—
1856C4—24no—
1857C4—1584no—
1858C4—1582no—
1859C4—1584no—
1860C4—1582no—
1861C4—1584no—
1862C4—1582no—
1863C4—1584no—
1864C4—1584no—
1865C4—1584no—
1866C2—22no—
1867C2—42no—
1868C2—42no—
1869C2—44no—
1870C2—3162no—
1871C2C2×#1909939811yescharacteristic
1872C2#2377821312yes—
subgroupG/H
center, FrattiniC22C25×D79
commutator, socle, cosocleC22×C79C26
FittingC79×#3545C2
hypercenter#3545D79
hypocenterC79#63064
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C22 ◁ #3545

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #23778094C2semidirect
2. #23778064C2semidirect
3. #23778050C2semidirect
4. #23778026C2semidirect
5. #23778016C2semidirect
6. #23778012C2semidirect
7. #23778003C2semidirect
8. #23778000C2semidirect
9. #23777898C2semidirect
10. #23777886C2semidirect
11. #23777855C2semidirect
12. #23777738C2semidirect
13. #23777597C2semidirect
14. #23777561C2semidirect
15. #23777544C2semidirect
16. C2×#19099313C2semidirect
17. #23777453C2semidirect
18. #23777366C2semidirect
19. #23777294C2semidirect
20. #23777285C2semidirect
21. #23777139C2semidirect
22. #23777097C2semidirect
23. C79×#3545C2semidirect
24. C79⋊#564C22semidirect
25. C79⋊#564C22semidirect
26. #19099316C22semidirect
27. #19099316C22semidirect
28. #19099316C22semidirect
29. #19099316C22semidirect
30. #19099315C22semidirect
31. #19099314C22semidirect
32. #19099314C22semidirect
35. #19099313C22semidirect
36. #19099313C22semidirect
37. #19099313C22semidirect
38. #19099313C22semidirect
39. #19099313C22semidirect
40. #19099313C22semidirect
41. #19099313C22semidirect
42. #19099313C22semidirect
43. #19099313C22semidirect
44. #19099312C22semidirect
45. #19099308C22semidirect
46. #19099308C22semidirect
47. #19099308C22semidirect
48. #19099302C22semidirect
49. #19099297C22semidirect
50. #19099295C22semidirect
51. #19099293C22semidirect
52. #19099291C22semidirect
53. #19099289C22semidirect
54. #19099288C22semidirect
55. #19099288C22semidirect
56. #19099283C22semidirect
57. #19099282C22semidirect
58. #19099282C22semidirect
59. #19099282C22semidirect
60. #19099282C22semidirect
61. #19099282C22semidirect
62. #19099282C22semidirect
63. #19099281C22semidirect
64. #19099280C22semidirect
65. #19099275C22semidirect
66. #19099272C22semidirect
67. #19099272C22semidirect
68. #19099272C22semidirect
69. #19099271C22semidirect
70. #19099270C22semidirect
71. #19099267C22semidirect
72. #19099267C22semidirect
73. #19099267C22semidirect
75. #19099265C22semidirect
76. #19099263C22semidirect
77. #19099260C22semidirect
78. #19099260C22semidirect
79. #19099255C22semidirect
80. #19099254C22semidirect
81. #19099253C22semidirect
82. #19099253C22semidirect
83. #19099253C22semidirect
84. #19099252C22semidirect
86. #19099250C22semidirect
87. #19099250C22semidirect
88. #19099250C22semidirect
89. #19099250C22semidirect
90. #19099250C22semidirect
91. #19099250C22semidirect
92. #19099250C22semidirect
93. #19099250C22semidirect
94. #19099250C22semidirect
95. #19099249C22semidirect
96. #19099249C22semidirect
97. #19099247C22semidirect
98. #19099246C22semidirect
99. #19099246C22semidirect
100. #19099246C22semidirect
104. #19099244C22semidirect
105. #19099244C22semidirect
106. #19099244C22semidirect
107. #19099244C22semidirect
108. #19099239C22semidirect
109. #19099239C22semidirect
110. #19099239C22semidirect
111. #19099239C22semidirect
112. #19099239C22semidirect
115. #19099211C22semidirect
116. #19099207C22semidirect
117. #19099192C22semidirect
118. #19099192C22semidirect
119. #19099192C22semidirect
120. #19099191C22semidirect
121. #19099190C22semidirect
122. #19099189C22semidirect
123. #19099189C22semidirect
124. #19099183C22semidirect
126. #19099182C22semidirect
127. #19099182C22semidirect
128. #19099181C22semidirect
130. #19099180C22semidirect
131. #19099178C22semidirect
132. #19099177C22semidirect
133. #19099177C22semidirect
134. #19099177C22semidirect
135. #19099177C22semidirect
136. #19099175C22semidirect
137. #19099175C22semidirect
138. #19099173C22semidirect
139. #19099173C22semidirect
140. #19099173C22semidirect
141. #19099173C22semidirect
142. #19099170C22semidirect
143. #19099170C22semidirect
144. #19099170C22semidirect
145. #19099170C22semidirect
146. #19099170C22semidirect
147. #19099170C22semidirect
148. #19099170C22semidirect
152. #19099158C22semidirect
153. #19099158C22semidirect
154. #19099158C22semidirect
155. #19099157C22semidirect
157. #19099156C22semidirect
158. #19099156C22semidirect
159. #19099155C22semidirect
160. #19099155C22semidirect
161. #19099154C22semidirect
164. #19099148C22semidirect
165. #19099148C22semidirect
166. #19099137C22semidirect
167. #19099135C22semidirect
170. #19099120C22semidirect
171. #19099119C22semidirect
172. #19099116C22semidirect
173. #19099116C22semidirect
174. #19099115C22semidirect
175. #19099115C22semidirect
176. #19099115C22semidirect
177. C2×#14579159C22semidirect
179. #19099094C22semidirect
180. #19099094C22semidirect
181. #19099093C22semidirect
182. #19099093C22semidirect
184. #19099092C22semidirect
185. #19099092C22semidirect
186. #19099092C22semidirect
187. #19099090C22semidirect
188. #19099090C22semidirect
189. #19099090C22semidirect
190. C2×#14579154C22semidirect
191. C2×#14579154C22semidirect
192. C2×#14579153C22semidirect
193. #125×D79C22semidirect
196. C2×#14579142C22semidirect
197. C2×#14579138C22semidirect
198. #19099042C22semidirect
199. #19099041C22semidirect
200. #19099040C22semidirect
202. #19099038C22semidirect
204. C4×#11929624C22semidirect
205. C2×#14579117C22semidirect
948. #3545D79semidirect
960. C79#63064semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
#237780942
#237780642
#237780502
#237780262
#237780162
#237780122
#237780032
#237780002
#237778982
#237778862
#237778552
#237777382
#237775972
#237775612
#237775442
C2×#190993132
#237774532
#237773662
#237772942
#237772852
#237771392
#237770972
C79×#35452
#6306479